Bayer, Pilar The Eichler-Shimura theorem and its non-Archimedean analogues. (Spanish) Zbl 0751.14015 Math. Contrib. Mem. V. M. Onieva Aleixandre, 27-34 (1991). [For the entire collection see Zbl 0722.00002.]This article is a concise and well readable (although written in Spanish!) resumé of work of G. Faltings [Math. Ann. 278, 133-149 (1987; Zbl 0646.14026)] and others on the relation between cusp forms, associated \(p\)-adic Galois representations and Hodge-Tate structures coming from the action of the inertia group at \(p\). Reviewer: F.Herrlich (Karlsruhe) Cited in 1 Review MSC: 14G20 Local ground fields in algebraic geometry 11F11 Holomorphic modular forms of integral weight 14G35 Modular and Shimura varieties Keywords:modular curve; cusp forms; \(p\)-adic Galois representations; Hodge-Tate structures Citations:Zbl 0722.00002; Zbl 0646.14026 PDFBibTeX XMLCite \textit{P. Bayer}, in: Stability of isomorphic properties of Banach spaces with respect to the gap. . 27--34 (1991; Zbl 0751.14015)